Equivalence of conservative, free, linear program schemas is decidable

Equivalence of linear, free, liberal, structured program schemas is decidable in polynomial time

A program schema defines a class of programs, all of which have identical statement structure, but whose expressions may differ. We define a class of syntactic similarity binary relations between linear structured schemas and show that these relations characterise schema equivalence for structured schemas which are linear, free and liberal. In this paper we prove that similarity implies equival...

Decidability of strong equivalence for subschemas of a class of linear, free, near-liberal program schemas

A program schema defines a class of programs, all of which have identical statement structure, but whose functions and predicates may differ. A schema thus defines an entire class of programs according to how its symbols are interpreted. Two schemas are strongly equivalent if they always define the same function from initial states to final states for every interpretation. A subschema of a sche...

Decidability of Strong Equivalence for Slices of a Class of Linear, Free, near-Liberal Program Schemas

A program schema defines a class of programs, all of which have identical statement structure, but whose functions and predicates may differ. A schema thus defines an entire class of programs according to how its symbols are interpreted. Two schemas are strongly equivalent if they always define the same function from initial states to final states for every interpretation. A slice of a schema i...

Bisimulation Equivalence is Decidable for all Context-Free Processes

Program equivalence in linear contexts

Program equivalence in linear contexts, where programs are used or executed exactly once, is an important issue in programming languages. However, existing techniques like those based on bisimulations and logical relations only target at contextual equivalence in the usual (non-linear) functional languages, and fail in capturing non-trivial equivalent programs in linear contexts, particularly w...