—We design an intuitionistic predicate logic that supports a limited amount of classical reasoning, just enough to prove a variant of Markov’s principle suited for predicate lo...
This article shows how different functional interpretations can be combined into what we term hybrid functional interpretations. These hybrid interpretations work on the setting o...
Paul Cohen's method of forcing, together with Saul Kripke's related semantics for modal and intuitionistic logic, has had profound effects on a number of branches of mat...
I present a new syntactical method for proving the Interpolation Theorem for the implicational fragment of intuitionistic logic and its substructural subsystems. This method, like...
It is standard to regard the intuitionistic restriction of a classical logic as increasing the expressivity of the logic because the classical logic can be adequately represented i...
We present a Prolog program that implements a sound and complete theorem prover for first-order intuitionistic logic. It is based on free-variable semantic tableaux extended by an...
We show that simultaneous rigid E-unification, or SREU for short, is decidable and in fact EXPTIME-complete in the case of one variable. This result implies that the fragment of i...
Anatoli Degtyarev, Yuri Gurevich, Paliath Narendra...
The Intuitionistic Logic Theorem Proving (ILTP) Library provides a platfom for testing and benchmarking theorem provers for first-order intuitionistic logic. It includes a collect...