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OR-parallelism

Definition

OR-parallelism explores alternative solutions concurrently. In logic programming, it commonly means executing different applicable clauses for the same goal in parallel. Each branch represents a possible solution route, rather than one required piece that must be combined with every other branch.

What it means

A search procedure reaches choice points where several rules or decisions could be tried. OR-parallel execution assigns alternatives to different workers so their searches overlap in time.

The “OR” refers to alternatives: one route may be sufficient to establish a solution. If the task asks for every solution, the system must still collect all relevant successful branches rather than stopping at the first one.

This differs from AND-parallelism, where several subgoals contribute to one combined solution. For example, separately exploring three candidate schedules is an OR-style decomposition; checking several required properties of one schedule is closer to an AND-style decomposition, subject to their dependencies.

How it works

A runtime identifies alternative work at a choice point and gives workers compatible starting states. Each branch then applies its own decisions and variable bindings. A binding made while exploring one alternative must not incorrectly become an assumption in an incompatible alternative.

Workers report success, failure, or additional work. A scheduler redistributes alternatives when branches finish unevenly. The runtime also needs rules for answer ordering, cancellation, and termination detection.

Logic-programming implementations have used different techniques to maintain branch-specific environments, including copying and specialized binding structures. Side effects and pruning operations require particular care if sequential program behavior must be preserved.

The benefit depends on useful work being large enough relative to scheduling and state-management costs. Parallel exploration can reduce waiting time, but it may also perform work that a sequential search would never reach after finding an early answer.

Three practical examples

1. A scheduling solver explores different candidate assignments for the first job concurrently. Each worker checks the consequences of its own assignment against the remaining constraints.

2. A rule-based query engine finds several rules that could establish the same requested relationship. It explores those rule bodies in parallel while keeping their variable substitutions separate.

3. A planning experiment compares different first actions from the same initial state. The workers search their resulting branches, and the coordinator applies the task's rule for accepting a valid plan or proving a better one is required.

Think of it this way

Think of a group exploring different maze paths from a shared starting point. One discovered exit may satisfy the goal.

The analogy is limited because software branches can share complex logical state, create further alternatives, and impose answer-order requirements. Finding any exit is also different from finding the shortest exit route or listing every exit. The stopping rule changes how results must be coordinated.

Worked example

Suppose a solver has three independent alternatives, A, B, and C. A takes eight seconds and fails, B takes five seconds and succeeds, and C takes four seconds and succeeds. Assume those durations remain unchanged when run concurrently and ignore overhead for the moment.

A sequential search in the order A, B, C finds its first success after 8+5=13 seconds. With three workers, an any-success policy can receive C's answer after four seconds. That is a latency improvement under these assumptions, not a claim that total computation fell by the same factor.

If the required answer is specifically the first success in the original sequential order, the system cannot simply return C. It must establish that A fails and respect B's earlier position. With suitable coordination, the relevant result is available after eight seconds because B has already completed by then.

If all branches must finish, ideal concurrent time is eight seconds instead of 17 seconds sequentially. Real timing also includes state copying, scheduling, communication, and possible resource contention. These three policies answer different questions using the same alternative searches.

Illustrative case study

Fictional case: ShiftPath prototypes a rule-based staffing planner. Its first parallel version returns whichever valid schedule appears first, but reviewers discover that the earlier sequential tool had a meaningful preference order among alternatives.

The team defines whether that order is part of the product requirement or merely an implementation accident. It then benchmarks the chosen behavior, recording time to a first acceptable schedule separately from time to complete the requested search.

The team checks cancellation and branch-local state after workers finish. This hypothetical case illustrates operational choices, not a measured speedup or a benefit for every planning problem.

Common misconceptions and mistakes

OR-parallelism does not mean combining every branch's variable assignments into one answer. Alternative branches may contain mutually incompatible decisions.

More workers do not guarantee proportionally lower latency. Search trees can be uneven, some branches may be too small to distribute efficiently, and shared resources can become bottlenecks. A long branch that cannot be divided may dominate completion time.

Do not confuse the first answer returned with the best answer. Optimization needs an appropriate search and stopping argument. Likewise, preserving the same set of answers does not necessarily preserve answer order or externally visible side effects.

Business use

OR-parallelism can help search and constraint systems meet response-time targets when meaningful alternative work is available. Evaluate it against the actual acceptance rule: any feasible answer, a preferred answer, all answers, or an optimum.

Measure elapsed time, total computation, memory, and cancellation behavior. Use workloads with uneven branches and failures as well as easy successes. Specify which behaviors must match the sequential system so performance changes do not silently alter user-visible results.

People also ask

Is OR-parallelism the same as running unrelated jobs together?

Not necessarily. Here the parallel work explores alternatives within a shared problem or goal, rather than merely serving unrelated requests.

Can it preserve sequential answer order?

A system can coordinate results to do so, but that may delay answers and reduce some latency advantages.

Does each branch need its own physical machine?

No. Workers may run on cores in one machine or across machines, depending on the implementation and workload.

Check your understanding

In the worked example, why is the four-second answer unsuitable when sequential answer order must be preserved?

Answer: C finishes first in time, but B precedes it in the specified search order. The coordinator must also establish that A does not supply an earlier success.

Related terms

  • AND-parallelism
  • Search tree
  • Work stealing
  • backtracking
  • logic programming
  • speculative execution
  • branch-local state

Learn next

Draw a search tree with uneven branch costs. Compare any-answer, ordered-answer, and all-answer completion times, then add scheduling overhead to see when extra workers cease to help.

  • Search tree

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Sources

Reference: Gopal Gupta and colleagues, Parallel Execution of Prolog Programs: a Survey, author-hosted paper, https://cliplab.org/papers/partut-toplas.pdf . The definitions, execution-state issues, and semantics discussion are grounded in this technical treatment. The timings and fictional staffing case are original illustrations.

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