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Proof theoretic investigations into integrated logical and functional programming

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Figure

Figure 2.1: Forms of judgement of X^^.
Figure 2.4: Derivable reduction judgements.
Figure 2.5: Derivable convertibility judgements.
Figure 2.6: Rules for derivable sequents of NJ^* .
+7

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T he Calculus h H for First-O rder H ereditary Harrop Logic The classes of objects of the calculus hH are defined as follows; the class r of simple types, 9 For every M, Ms, x, the following identities hold: Towards an Im plem entation o f FO PLP 3 ,is derivable The following derivation may be formed: D efinitions in Integrated Logical and Functional Program ­ m ing and S types P r oof-T heoretic Sem antics o f the Integrated Logical and Functional Program m ing Language LFPL 4 Let eeufi extended uniform focused proof-term Then, every proof-term of the form ri ^ A and either A = (Ai,r : Vy:rü, Aa) Co nclusi o ns and Open Problem s B ibli ography

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