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By Abraham Ginzburg

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An environment is pushed onto STACK upon a (non-fact) procedure entry call, and popped from STACK upon return. Thus, an allocate/deallocate pair of instructions must bracket the code generated for a rule in order to create and discard, respectively, such environment frames on the stack. In addition, deallocate being the ultimate instruction of the rule, it must connect to the appropriate next instruction as indicated by the continuation pointer that had been saved upon entry in the environment being discarded.

1. 1 and verify that the solution produced is U = a V = c. , the machine 2 ) to allow disjunctive definitions. As in 2 , an 3 program is a set of procedure definitions. , a sequence of facts or rules) consisting of all and only those whose head atoms share the same predicate name. That name is the name of the procedure specified by the definition. 3 queries are the same as those of 2 . The semantics of 3 operates using top-down leftmost resolution, an approximation of SLD resolution. Thus, in 3 , a failure of unification no longer yields irrevocable abortion of execution but considers alternative choices of clauses in the order in which they appear in definitions.

It uses a global dynamic structure, an array of store addresses, as a unification stack (called PDL, for Push-Down List). 7, where empty, push, and pop are the expected stack operations. 2 Give heap representations for the terms f (X g(X a)) and f (b Y ). Let a1 and a2 be their respective heap addresses, and let aX and aY be the heap addresses corresponding to variables X and Y , respectively. Trace the effects of executing unify(a1 a2), verifying that it terminates with the eventual dereferenced bindings from aX and aY corresponding to X = b and Y = g(b a).

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