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TPHOL
2000
IEEE
13 years 9 months ago
Proof Terms for Simply Typed Higher Order Logic
Abstract. This paper presents proof terms for simply typed, intuitionistic higher order logic, a popular logical framework. Unification-based algorithms for the compression and re...
Stefan Berghofer, Tobias Nipkow
ESOP
2007
Springer
13 years 10 months ago
Structure of a Proof-Producing Compiler for a Subset of Higher Order Logic
We give an overview of a proof-producing compiler which translates recursion equations, defined in higher order logic, to assembly language. The compiler is implemented and valida...
Guodong Li, Scott Owens, Konrad Slind
LICS
2012
IEEE
11 years 7 months ago
Foundational, Compositional (Co)datatypes for Higher-Order Logic: Category Theory Applied to Theorem Proving
—Interactive theorem provers based on higher-order logic (HOL) traditionally follow the definitional approach, reducing high-level specifications to logical primitives. This al...
Dmitriy Traytel, Andrei Popescu, Jasmin Christian ...
AGP
2010
IEEE
13 years 9 months ago
Proof-Theoretic and Higher-Order Extensions of Logic Programming
We review the Italian contribution to proof-theoretic and higher-order extensions of logic programming; this originated from the realization that Horn clauses lacked standard abstr...
Alberto Momigliano, Mario Ornaghi