Semantics of Logic

Assigning Meaning to Proofs
Report by Robert Constable, subtitled `A semantic basis for problem solving environments'. Constable's aim is to use metamathematical results to guide the making of framewroks for constructive logic, as part of the NuPrl project.
http://www.cs.cornell.edu/Info/Projects/NuPrl/documents/semantics/it.html

Interpreting Formal Logic
Article by Jaroslav Peregrin. [PDF]
http://jarda.peregrin.cz/mybibl/PDFTxt/309.pdf

The Meanings of Logical Constants
Essay by Gilbert Harman, arguing for Prawitz's approach to the semantics of logic based upon a conceptual role semantics.
http://www.nyu.edu/gsas/dept/philo/courses/concepts/meaning.html

On the Meaning of the Logical Constants and the Justifications of the Logical Laws
Lecture notes of Per Martin-Löf. Argues that a close analysis of the concepts of proof, judgement and justification yield a direct, constructive account of the meaning of logical judgements.
http://www.hf.uio.no/filosofi/njpl/vol1no1/meaning/meaning.html

Satisfaction
An introduction to the model-theoretic stasfaction relation, by Peter Suber.
http://www.earlham.edu/~peters/courses/logsys/satisfac.htm

Torkel Franzén's Homepage
Contains his PhD thesis, `Provability and Truth'.
http://www.sm.luth.se/~torkel/

What Can't Be Evaluated, Can't Be Evaluated; and It Can't Be Supervalued Either
Essay by Jerry Fodor and Ernie Lepore attacking an argument for maintaining principle of the excluded middle in the absence of bivalence by the device of supervaluations. [PDF]
http://ruccs.rutgers.edu/tech_rpt/evaluate19.pdf