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We investigate the position that foundational theories should be modelled on ordinary computability, with axioms and theorems presented as sequents of Σ formulas. We define a proof from such a theory to be a finite sequence of Σ formulas, with an axiom of the theory applied at each step. We obtain a complete system of logical axioms for this style ...
We investigate the position that foundational theories should be modelled on ordinary computability, with axioms and theorems presented as sequents of Σ formulas. We define a proof from such a theory to be a finite sequence of Σ formulas, with an axiom of the theory applied at each step. We obtain a complete system of logical axioms for this style ...
We investigate the position that foundational theories should be modelled on ordinary computability, with axioms and theorems presented as sequents of Σ formulas. We define a proof from such a theory to be a finite sequence of Σ formulas, with an axiom of the theory applied at each step. We obtain a complete system of logical axioms for this style ...
We investigate the position that foundational theories should be modelled on ordinary computability, with axioms and theorems presented as sequents of Σ formulas. We define a proof from such a theory to be a finite sequence of Σ formulas, with an axiom of the theory applied at each step. We obtain a complete system of logical axioms for this style ...
We investigate the position that foundational theories should be modelled on ordinary computability, with axioms and theorems presented as sequents of Σ formulas. We define a proof from such a theory to be a finite sequence of Σ formulas, with an axiom of the theory applied at each step. We obtain a complete system of logical axioms for this style ...
We investigate the position that foundational theories should be modelled on ordinary computability, with axioms and theorems presented as sequents of Σ formulas. We define a proof from such a theory to be a finite sequence of Σ formulas, with an axiom of the theory applied at each step. We obtain a complete system of logical axioms for this style ...
We investigate the position that foundational theories should be modelled on ordinary computability, with axioms and theorems presented as sequents of Σ formulas. We define a proof from such a theory to be a finite sequence of Σ formulas, with an axiom of the theory applied at each step. We obtain a complete system of logical axioms for this style ...
We investigate the position that foundational theories should be modelled on ordinary computability, with axioms and theorems presented as sequents of Σ formulas. We define a proof from such a theory to be a finite sequence of Σ formulas, with an axiom of the theory applied at each step. We obtain a complete system of logical axioms for this style ...
