Abstract. This paper is an attempt to refine Hernest’s [2] extension of Berger’s uniform quantifiers [1] to Gödel’s functional (Dialectica) interpretation [3]. We consider the possibility to switch on and off every computational component and explore possible applications of the refined interpretation. 1
Aristotle long ago divided kinds of study into technē and epistēmē, which we can roughly translate i...
I expand in this note a remark in [1] about Gödel’s consistency proof for arithmetic (the Dialectic...
Extending Gödel's Dialectica interpretation, we provide a functional interpretation of classical the...
Abstract. Computational proof interpretations enrich the logical mean-ing of formula connectives and...
The functional “Dialectica ” interpretation was developed by Gödel [3] to trans-late classical arit...
The present paper presents a review of Dan Herenst’s PhD thesis [3]. The author incorporates the non...
Gödel’s functional (Dialectica) interpretation [1, 6, 9] was designed to translate a possibly non-c...
AbstractWe upgrade the light Dialectica interpretation (Hernest, 2005) [6] by adding two more light ...
Key words Program extraction from proofs, uniform quantifiers, monotone functional interpretation In...
AbstractWhen Gödel developed his functional interpretation, also known as the Dialectica interpretat...
International audienceIn this paper, we present a modern reformulation of the Dialectica interpretat...
Abstract. We show how different functional interpretations can be combined via a multi-modal linear ...
We adapt our light Dialectica interpretation to usual and light modalformulas (with universal quanti...
Gödel’s functional “Dialectica ” interpretation can be used to extract functional programs from non...
Recently, the second author, Briseid, and Safarik introduced nonstandard Dialectica, a functional in...
Aristotle long ago divided kinds of study into technē and epistēmē, which we can roughly translate i...
I expand in this note a remark in [1] about Gödel’s consistency proof for arithmetic (the Dialectic...
Extending Gödel's Dialectica interpretation, we provide a functional interpretation of classical the...
Abstract. Computational proof interpretations enrich the logical mean-ing of formula connectives and...
The functional “Dialectica ” interpretation was developed by Gödel [3] to trans-late classical arit...
The present paper presents a review of Dan Herenst’s PhD thesis [3]. The author incorporates the non...
Gödel’s functional (Dialectica) interpretation [1, 6, 9] was designed to translate a possibly non-c...
AbstractWe upgrade the light Dialectica interpretation (Hernest, 2005) [6] by adding two more light ...
Key words Program extraction from proofs, uniform quantifiers, monotone functional interpretation In...
AbstractWhen Gödel developed his functional interpretation, also known as the Dialectica interpretat...
International audienceIn this paper, we present a modern reformulation of the Dialectica interpretat...
Abstract. We show how different functional interpretations can be combined via a multi-modal linear ...
We adapt our light Dialectica interpretation to usual and light modalformulas (with universal quanti...
Gödel’s functional “Dialectica ” interpretation can be used to extract functional programs from non...
Recently, the second author, Briseid, and Safarik introduced nonstandard Dialectica, a functional in...
Aristotle long ago divided kinds of study into technē and epistēmē, which we can roughly translate i...
I expand in this note a remark in [1] about Gödel’s consistency proof for arithmetic (the Dialectic...
Extending Gödel's Dialectica interpretation, we provide a functional interpretation of classical the...