Add to ORKGABSTRACT. This paper introduces a multi-valued variant of higher-order res-olution and proves it correct and complete with respect to a variant of Henkin’s general model semantics. This resolution method is parametric in the number of truth values as well as in the particular choice of the set of connectives (given by arbitrary truth tables) and even substitutional quantifiers. In the course of the completeness proof we establish a model existence theorem for this logical system. The work reported in this paper provides a basis for developing higher-order mechanizations for many non-classical logics. KEY WORDS: higher-order logic, resolution, multi-valued, λ-calculus
The paper shows satisfiability in many propositional modal systems, including \textit{K}, \textit{KD...
AbstractA general approach to automated theorem proving for all first-order finite-valued logics tha...
The paper shows satisfiability in many propositional modal systems can be decided by ordinary resolu...
This paper introduces a multi-valued variant of higher-order resolution and provesit correct and com...
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We investigate several approaches to resolution based automated theorem proving in classical higher-...
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Abstract. In this paper we develop a 2-valued reduction of many-valued logics, into 2-valued multi-m...
The paper shows satisfiability in many propositional modal systems, including \textit{K}, \textit{KD...
AbstractA general approach to automated theorem proving for all first-order finite-valued logics tha...
The paper shows satisfiability in many propositional modal systems can be decided by ordinary resolu...
This paper introduces a multi-valued variant of higher-order resolution and provesit correct and com...
In this paper we present an extensional higher-order resolution calculus that iscomplete relative to...
We investigate several approaches to resolution based automated theorem proving in classical higher-...
Abstract. The higher-order types of Herbrand interpretations for databases arise often in practice w...
Abstract: "The first part of this paper introduces an extension for a variant of Huet's higher-order...
The generalized models for higher-order logics introduced by Leon Henkin and their multiple offsprin...
We propose a new definition of the representation theorem for many-valued logics, with modal operato...
In this paper we provide a semantical meta-theory that will support the development of higher-order ...
Abstract. Classical logic predicts that everything (thus nothing useful at all) follows from inconsi...
We present a simple resolution proof system for higher-order constrained Horn clauses (HoCHC)-a syst...
Two related but independent topics are treated dealing with methods for mechanical theorem proving i...
Abstract. In this paper we develop a 2-valued reduction of many-valued logics, into 2-valued multi-m...
The paper shows satisfiability in many propositional modal systems, including \textit{K}, \textit{KD...
AbstractA general approach to automated theorem proving for all first-order finite-valued logics tha...
The paper shows satisfiability in many propositional modal systems can be decided by ordinary resolu...